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Simplifying 4q + -16 = 2q + 12 Reorder the terms: -16 + 4q = 2q + 12 Reorder the terms: -16 + 4q = 12 + 2q Solving -16 + 4q = 12 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -16 + 4q + -2q = 12 + 2q + -2q Combine like terms: 4q + -2q = 2q -16 + 2q = 12 + 2q + -2q Combine like terms: 2q + -2q = 0 -16 + 2q = 12 + 0 -16 + 2q = 12 Add '16' to each side of the equation. -16 + 16 + 2q = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 2q = 12 + 16 2q = 12 + 16 Combine like terms: 12 + 16 = 28 2q = 28 Divide each side by '2'. q = 14 Simplifying q = 14
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